Circles and Tangents. Mathematics State Board, Class 10: lessons, tests, tasks.

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1.	Introduction
2.	Tangent to a circle
3.	Results 1 and 2 on circles and tangents
4.	Result 3 on circles and tangents
5.	Result 4 on circles and tangents
6.	Result 5 on circles and tangents
7.	Result 6 on circles and tangents
8.	Alternate Segment Theorem
9.	Construction of a tangent to a circle using its centre
10.	Construction of a tangent to a circle using alternate segment theorem
11.	Construction of a pair of tangents to a circle from an external point
12.	Congruency theorems

1.	Multiple choice question Difficulty: easy	5
2.	Two marks example problems - I Difficulty: medium	8
3.	Two marks exercise problems - I Difficulty: medium	8
4.	Five marks example problems - II Difficulty: medium	15
5.	Five marks exercise problems - II Difficulty: hard	15
6.	Five marks exercise problems - III Difficulty: hard	15
7.	Five marks exercise problems - IV Difficulty: hard	0

1.	Find the value of 'x' Difficulty: easy	1
2.	Find the length as directed Difficulty: easy	2
3.	Find the sides of an equilateral triangle Difficulty: easy	2
4.	Find the length Difficulty: easy	1
5.	Find the length of the tangent Difficulty: medium	3
6.	Find the unknown angle Difficulty: medium	3
7.	Find the radius of the larger circle Difficulty: medium	3
8.	Find the angle Difficulty: medium	3
9.	Find the length of the left out portion Difficulty: medium	3
10.	Find the value of 'x', 'y' and 'z' Difficulty: hard	6
11.	Find the length of the required tangent Difficulty: hard	4
12.	Find the value of 'x' and 'y' Difficulty: hard	4

1.	Find the length of BC Difficulty: medium	1
2.	Find AD, BE and CF Difficulty: hard	5
3.	Determine the radius of the circle Difficulty: hard	5

1.

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